Quantum Mechanics in the Geometry of Space-Time

Elementary Theory
2011. Buch. xii, 119 S.: Bibliographien. Softcover
Springer ISBN 978-3-642-19198-5
Format (B x L): 15,5 x 23,5 cm
Gewicht: 231 g
In englischer Sprache
Das Werk ist Teil der Reihe:
This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry. We see how the standard matrix version of the Dirac equation can be reformulated in terms of a real space-time algebra, thus revealing a geometric meaning for the “number i” in quantum mechanics. Next, it is examined in some detail how electroweak theory can be integrated into the Dirac theory and this way interpreted in terms of space-time geometry. Finally, some implications for quantum electrodynamics are considered. The presentation of real quantum electromagnetism is expressed in an addendum. The book covers both the use of the complex and the real languages and allows the reader acquainted with the first language to make a step by step translation to the second one.
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Represents the most complete treatment of relativistic quantum mechanics in terms of real spacetime algebra Demonstrates practical advantages of STA theory Shows how to incorporate electroweak theory and gives novel insight into calculation of the Lamb shift, one of the pivotal problems in relativistic quantum theory